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Finding the Fourth Proportional to 1,976.09, 2,968.22 and 1,568.09

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Solution

The fourth proportional to 1,976.09, 2,968.22 and 1,568.09 is: 2,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.09 : 2,968.22 = 1,568.09 : x
  2. Step 2: Convert to fraction form
    1,976.09/2,968.22 = 1,568.09/x
  3. Step 3: Cross multiply
    1,976.09x = 2,968.22 × 1,568.09
  4. Step 4: Simplify right side
    1,976.09x = 4,654,447.44
  5. Step 5: Solve for x
    x = 4,654,447.44/1,976.09
  6. Step 6: Final answer
    x = 2,355.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.